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Finding the Fourth Proportional to 1,030.85, 1,546.11 and 337.58

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Solution

The fourth proportional to 1,030.85, 1,546.11 and 337.58 is: 506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.85 : 1,546.11 = 337.58 : x
  2. Step 2: Convert to fraction form
    1,030.85/1,546.11 = 337.58/x
  3. Step 3: Cross multiply
    1,030.85x = 1,546.11 × 337.58
  4. Step 4: Simplify right side
    1,030.85x = 521,939.68
  5. Step 5: Solve for x
    x = 521,939.68/1,030.85
  6. Step 6: Final answer
    x = 506.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.